Converting 74.7184 to a Fraction
Step-by-step explanation of how to convert 74.7184 to a fraction
Result
74.7184 =
46699
625
Mixed number:
74
449
625
Step 1: Identify the number of decimal places
The decimal 74.7184 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
74.7184 × 10000 = 747184
Step 3: Write as a fraction
74.7184 =
747184
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 747184 and 10000.
GCD(747184, 10000) = 16
Divide both the numerator and denominator by the GCD:
747184
10000
=
747184 ÷ 16
10000 ÷ 16
=
46699
625
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